Self-consistent projection operator theory for quantum many-body systems
Self-consistent projection operator theory for quantum many-body systems
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DOI：
10.1103/physrevb.89.245108
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发表时间：
2013-07
影响因子：
3.7
通讯作者：
Peter Degenfeld-Schonburg;M. Hartmann
中科院分区：
文献类型：
--
作者：
Peter Degenfeld-Schonburg;M. Hartmann
本文导出了任意晶格维数和任意系统大小的量子多体系统的各子系统的约化密度矩阵的精确运动方程。我们的投影算子为基础的理论产生了一个高效的分析和数值方法。除了它的实际用途，它提供了一个新的解释和系统的平均场方法的扩展和适应开放量子系统理论的设置，其中一个动态演变的环境必须考虑。我们证明了它的高精度的两个重要类的复杂的量子多体动力学，在封闭和定态的驱动耗散系统的非平衡态的幺正演化。
We derive an exact equation of motion for the reduced density matrices of individual subsystems of quantum many-body systems of any lattice dimension and arbitrary system size. Our projection operator based theory yields a highly efficient analytical and numerical approach. Besides its practical use it provides a novel interpretation and systematic extension of mean-field approaches and an adaption of open quantum systems theory to settings where a dynamically evolving environment has to be taken into account. We show its high accuracy for two significant classes of complex quantum many-body dynamics, unitary evolutions of non-equilibrium states in closed and stationary states in driven-dissipative systems.